Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 8, Issue 2


Published
on

August 14, 2023


Pages


DOI

Article

Problem identification and solution of voice change phenomenon in vocal singing based on the AHP method


Authors

Xiaoxiao Zhang Affiliation:
Midwest University, Wentzville, Missouri, 63385, USA.


Abstract

The key points and difficulties in vocal singing are problem identification and clever transition in the voice change area. In this paper, by establishing the hierarchical structure model of the hierarchical analysis method, we compare the degree of importance of elements at different levels and the same level based on the judgment matrix to establish the weight vector and test the consistency of the judgment matrix. At the same time, for the problem that the hierarchical analysis method is not strongly targeted, the fuzzy comprehensive evaluation method is proposed for optimization, and then the fuzzy hierarchical analysis method is used to analyze the sound change phenomenon from the three primary indicators of breathing rhythm, resonance effect and sound representation and the related secondary indicators. The evaluation scores of the breathing rhythm control level were 7.83% and 13.77% lower than those of the professional level and master level, respectively; the evaluation scores of resonance effect were 10.70% and 13.37% lower than those of the professional level and master level, respectively; the evaluation scores of sound representation level were 9.26% and 14.32% lower than those of professional level and master level, respectively. The research based on hierarchical analysis can analyze the phenomenon of voice change in the process of vocal singing from a quantitative perspective, give scientific guidance to the practice of vocal singing, and help the development and prosperity of vocal singing art.


Keywords

Hierarchical analysis method, Fuzzy comprehensive evaluation method, Voice change phenomenon, Weight vector, Judgment matrix, 93B30


Citation

Zhang, X. (2023). Problem identification and solution of voice change phenomenon in vocal singing based on the AHP method. Applied Mathematics and Nonlinear Sciences, 8(2). https://doi.org/10.2478/amns.2023.2.00182

Published by: Engineering Journals

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